A de Finetti representation for finite symmetric quantum states

Details A de Finetti representation for finite symmetric quantum states A de Finetti representation for finite symmetric quantum states

2004-10-27

arxiv.org/abs/quant-ph/0410229v1

J. Math. Phys. 46, 122108 (2005)

Physics

Quantum Physics

22 pages, LaTeX

Scientific paper

10.1063/1.2146188

Consider a symmetric quantum state on an n-fold product space, that is, the state is invariant under permutations of the n subsystems. We show that, conditioned on the outcomes of an informationally complete measurement applied to a number of subsystems, the state in the remaining subsystems is close to having product form. This immediately generalizes the so-called de Finetti representation to the case of finite symmetric quantum states.

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